find the value
any help

Answer:

a. x = 14

b. Perimeter = 77

Step-by-step explanation:

a. Based on the Triangle Proportionality Theorem:

[tex] \frac{2x - 2}{13} = \frac{21 - 7}{7} [/tex]

[tex] \frac{2x - 2}{13} = \frac{14}{7} [/tex]

[tex] \frac{2x - 2}{13} = 2 [/tex]

Cross multiply

[tex] 2x - 2 = 2(13) [/tex]

[tex] 2x - 2 = 26 [/tex]

Add 2 to both sides

[tex] 2x = 26 + 2 [/tex]

[tex] 2x = 28 [/tex]

Divide both sides by 2

x = 14

b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7

Plug in the value of x

= (2(14) - 2) + 13 + 17 + 14 + 7

= 26 + 13 + 17 + 14 + 7

= 77

Step-by-step explanation:

done.....

............I got doubt about last answer...

Answer:

79.81% probability of winning.

Step-by-step explanation:

For each ticket, there are only two possible outcomes. Either you win, or you do not. The probability of winning in a ticket is independent of other tickets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The odds of winning the prize is 1 : 53

This means that [tex]p = \frac{1}{53}[/tex]

If I purchased 84 tickets what are the odds of winning in percentage.

To win, at least one of the tickets must have the prize, of 84 tickets, so [tex]n = 84[/tex].

We have to find [tex]P(X \geq 0)[/tex], which is given by:

[tex]P(X \geq 0) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = 0) = C_{84,0}.(\frac{1}{53})^{0}.(\frac{52}{53})^{84} = 0.2019[/tex]

[tex]P(X \geq 0) = 1 - P(X = 0) = 1 - 0.2019 = 0.7981[/tex]

79.81% probability of winning.

Answer: D. y ≤ -2x = 1

Step-by-step explanation: To determine the inequality, first determine the line equation.

Line equation can be written as

[tex]y-y_{0}=m(x-x_{0})[/tex] , called point-slope form of a line equation,

where

m is slope of the equation

x₀ and y₀ are points in the line

Slope is calculated as the difference between y-coordinates divided by the difference between the x-coordinates:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

From the graph, we have 2 points: (-1,3) and (1,-1), so find slope:

[tex]m=\frac{3+1}{-1-1}[/tex]

m = -2

Replacing slope and point (0,1) into point-slope form:

[tex]y-1=-2(x-0)[/tex]

[tex]y=-2x+1[/tex]

This is the equation of the line.

Now, we determine the inequality:

Observe the graph, if the line is a continuous one, it is a less-than-or-equal-to (≤) or more-than-or-equal-to (≥). If it was a dotted line, the symbol would be less-than (<) or more-than (>).

In our case, the line is continuous so it will be ≥ or ≤. To determine which one, we can plug a point located in the shaded part, for example (0,0). Substituting:

y = -2x + 1

0 ≠ -2(0) + 1

0 ≤ 1

Therefore, line equation of the graph is [tex]y\leq -2x+1[/tex].

Answer:

An equation in the slope-intercept form will be:

Step-by-step explanation:

We know The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Let x represent the time in months

Let y represent the amount of money remaining in the account.

Given that every month Monica withdraws $15 from this account for her contact lenses

Thus, the rate of change or slope = m = 15

Given that after 3 months she has $255 left in her account.

So, we take the point (3, 255)

substituting m = 15, x = 3 and y = 255 in the slope-intercept form to determine the y-intercept

y = mx+b

255 = 15(3) + b

switch sides

15(3) + b = 255

45 + b = 255

b = 255 - 45

b = 210

Now, substituting m = 15 and b = 210 in the slope-intercept form of the line equation

y = mx+b

y = 15x+210

Therefore, an equation in the slope-intercept form will be:

Answer:

number = 0.011

Step-by-step explanation:

Decimal Representation

The model is shown in the figure. It has a form of a cube where each face is divided into 10 equal squares, forming a 10x10x10=1,000 smaller cubes piece.

Out of that 1,000 cubes, only 11 are shaded. This leaves us to think the decimal represented by the model is the division between the shaded cubes by the total cubes, thus:

[tex]number= \frac{11}{1,000}[/tex]

Dividing:

number = 0.011

a. Venn diagram attached below.

b. 2 students are in neither English nor Chemistry.

c. The probability that a randomly chosen student is only taking chemistry is 24/40, or 6/10 because out of the 40 students, 24 of them take exclusively the chemistry class.

Step-by-step explanation:

Given

(5y - 12 ) + ( -5y - 1)

= 5y - 12 - 5y - 1

= 5y - 5y - 13

= - 13

Hope it will help):)❤

Answer:

x = 48° and y = 70°

Step-by-step explanation:

As it is an isosceles triangle so base angles of isosceles triangle are equal

x +7° = 55°

x = 55° - 7°

Therefore x = 48°

Now

x + 7 = (48 + 7)°= 55°

Calculating the value of y as sum of angles of triangle is equal to 180°

y + 55° + 55° = 180°

y + 110° = 180°

y = 180° - 110°

Y = 70°

Hope it will help :)

Answer:

x=48

y=70

Step-by-step explanation:

Key skills required are triangles, isosceles triangles, one variable equations, interior angle sums

1) You have to start with the fact that the triangle is isosceles. This means that the 2 base angles (x+7 and 55) are equal to each other.

An isosceles triangle has 2 sides equal and 2 angles equal.

2) With the explanation above --> x+7=55

3) Subtract 7 from both sides and you will get x=48

4) The sum of all the angles in a triangle is 180 degrees. The two bottom angles are 55 degrees each, making their sum 55+ 55= 110 degrees.

5) 110 degrees + y degrees = 180

6) subtract 110 from both sides and y would equal 70.

Hope you understood and have a nice day!! :D

Answer:

i think is A

Step-by-step explanation:

Answer: probability of won=

no. of won match=21

no. of total match=28

so they cut and made 3/4

probability of lost match=

no. of lost match=7

no. of total match=28

so they cut and made 1/4

HOPE THIS HELPS

Answer:

It b

Step-by-step explanation:

All 3 sides of the shape is parallel as well as A so therefore is b

Answer:

No, because AB is not parallel to CD

Answer:

(B)

Step-by-step explanation:

Let  us denote rectangular tiles by R and square tile by S, then

According to figure.

3 rectangular tiles +2 square tiles +2 square tiles =2 rectangular tiles +4 square tiles +1 rectangular tiles +4 square tiles

∴3R+2S+2R=2R+4S+R+4S

⇒5R+2S=3R+8S

⇒5R-3R=8S-2S

⇒2R=6S

⇒R=3S

Hence, 0ne rectangle =3 square

Answer:   77 : 144   or  77/144

Step-by-step explanation:

First find the total number of people for each school.

Wood  Middle School : 136 + 172 = 308  

Parker Middle School: 312 + 264 = 576  

The ratio of students at Wood school to  students at Parker Middle School is  

308 : 576  = 77 : 144   or  77/144

Answer:   77 : 144   or  77/144

Step-by-step explanation:

First find the total number of people for each school.

Wood  Middle School : 136 + 172 = 308  

Parker Middle School: 312 + 264 = 576  

The ratio of students at Wood school to  students at Parker Middle School is  

308 : 576  = 77 : 144   or  77/144

Answer:

$7.225

Step-by-step explanation:

Answer:

D) 28.90

Step-by-step explanation:

28.90 divided by 2 = 14.45 + 1.12 (sales tax) = 15.15 (which was the price he had paid)

Answer:

12 muffins for $9.60

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

Answer:

2x^2 - 7x - 4

Step-by-step explanation:

Given the expression f(x) = (2x+1)(x – 4)

To write it in standard form, we need to factorize it

(2x+1)(x – 4)

= 2x(x) - 2x(4) + x - 4

= 2x^2 - 8x + x - 4

= 2x^2 - 7x - 4

hence the expression in standard form is 2x^2 - 7x - 4

Answer:

55% is ur answer :)

Convert fraction (ratio) 16.5 / 30

Answer:

A) 1/5

Step-by-step explanation:

There are 25 candies total, and you want to choose the 5 orange candies there.

That's 5/25.

Simplifying, we divide both sides by 5.

Thus, we get:

1/5.

Answer:

to what?

Step-by-step explanation:

Answer:

x+y=z

Step-by-step explanation:

Answer: Are exactly like credit cards

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

12-30

3z+12-30=-48

3z=-30

z=-10

Answer:

10 mph

Step-by-step explanation:

So speed is usually written in miles per hour (mph) so I'm assuming that's how you want it.

90 minutes is 1.5 hours

15/1.5=10

you have a 4/15 chance of getting red and a 5/14 chance of getting yellow staight after.